Abstract
We consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on two types of basis functions. We study the interpolation properties and the approximation errors of the methods proposed here. We evaluate the efficiency using several test functions and the practical applicability through two real-data problems.
Authors
Teodora Cătinaş
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Andra Malina
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
Interpolation of scattered data; Interpolation on sphere; Shepard operator; Bernoulli operator; Error estimations
Paper coordinates
T. Catinas, A. Malina, Spherical Shepard-Bernoulli operator, J. Appl. Math. Comput., 2024, https://doi.org/10.1007/s12190-024-02285-z
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About this paper
Journal
Journal of Applied Mathematics and Computing
Publisher Name
Springer Link
DOI
https://doi.org/10.1007/s12190-024-02285-z
Print ISSN
Online ISSN
1865-2085
Paper (preprint) in HTML form
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